1064087200 has 72 divisors (see below), whose sum is σ = 2833881120. Its totient is φ = 386937600.

The previous prime is 1064087179. The next prime is 1064087207. The reversal of 1064087200 is 27804601.

It is a super-2 number, since 2×1064087200² = 2264563138407680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1064087207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51660 + ... + 69259.

It is an arithmetic number, because the mean of its divisors is an integer number (39359460).

Almost surely, 2^1064087200 is an apocalyptic number.

1064087200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1064087200 is an abundant number, since it is smaller than the sum of its proper divisors (1769793920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1064087200 is a wasteful number, since it uses less digits than its factorization.

1064087200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120950 (or 120937 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1064087200 is about 32620.3494769753. The cubic root of 1064087200 is about 1020.9216327157.

The spelling of 1064087200 in words is "one billion, sixty-four million, eighty-seven thousand, two hundred".